limit as x approaches 3+of (|x|-3)/(3-x)

Lösung

x \to 3 + lim (\frac{∣ x ∣ - 3}{3 - x})

- 1

Schritte zur Lösung

x \to 3 + lim (\frac{∣ x ∣ - 3}{3 - x})

x

ist positiv wenn

x \to 3 +

. Deshalb

∣ x ∣ = x

= x \to 3 + lim (\frac{x - 3}{3 - x})

\frac{x - 3}{3 - x} = - 1

= x \to 3 + lim (- 1)

x \to a lim c = c

= - 1

x \to 1 lim (\frac{1}{( x - 1 ) ^{3}})

x \to 5 - lim (\frac{[ x ] - x}{x - 5})

x \to 1 - lim (x^{2} + 3)

x \to \frac{2}{3} lim (\frac{2 x ^{2} - 15 x + 18}{3 x ^{2} - 17 x - 6})

x \to 1 + lim (\frac{∣ 1 - x ∣}{x - 1})